1. A bag contains six black balls, 4 green balls and 3 red balls. If 3 balls are picked at random what is the probability that they are of same colour?

1) 25/286 2) 25/216 3) 42/72 4) 3/13 5) 4/13

2. Four persons are there in a function and six seats are vacant. In how many ways they can be seated?

1) 220 2) 330 3) 360 4) 120 5) 480

3. In how many ways 5 prizes can be distributed among 3 students if one student can get any number of prizes?

1) 10 2) 21 3) 24 4) 12 5) 22

4. The price of an article first increased by 10%, then decreased by 20% and then increased by 30%. If the final price is `3432, what was the original price?

1) `2500 2) `3000 3) `2000 4) `3500 5) ` 1500

5. In a class of 80 students, the ratio of boys to girls is 2:3. The number of students who passed in an exam to those who have failed is in the ratio 5 : 3. Among the boys, the ratio of passed to failed is 1: 3. What is the ratio of girls who failed to those who have passed?

1) 2 : 3 2) 3 : 2 3) 7 : 1 4) 1 : 7 5) 5 : 4

6. What is the diagonal of A rectangle whose length is 12 m. and breadth is 5m.?

1) 16 m 2) 13 m 3) 19 m 4) 11 m 5) 15 m

7. A wheel rotates and covers a distance of 13200 m by revolving 150 times. What is the diameter of the wheel?

1) 7 m. 2) 14 m. 3) 28 m. 4) 56 m. 5) 50 m.

8. A solid sphere cut into two equal hemisphere. What will be the ratio of surface area of the hemisphere to that of sphere-

1) 2 : 3 2) 3 : 4 3) 4 : 3 4) 3 : 2 5) 1 : 2

9. There is a cylinder of radius 25 cm. There is some water in it. If small sphere with diameter 5 mm are dropped into it, the water level rises and the cylinder gets filled with spheres. If 60000 spheres are dropped, find the volume of cylinder?

1) 1000 cm. 2) 1200 cm. 3) 1250 cm. 4) 1500 cm. 5) 2000 cm.

10. What will be the curved surface area of a cylinder whose height is 42 cm. and radius of base is 3.5 cm?

1) 624 cm. 2) 924 cm. 3) 900 cm. 4) 528 cm. 5) 634 cm.

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